The Dragon's Breath sucks, period. It shouldn't even be considered an exotic worthy of a slot. The damage created doesn't account for the slow velocity, iron sight aiming, or small blast area. The solar flare doesn't result in any worthy aftermath damage.
It's a laughable weapon that should be sharded upon entry.
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You do know that a fully upgraded dragons breath out-dps gjallarhorn if every tick of the flare hits, right?